Do I really have to spell it out?
OK, is it possible average Americans don't trust Vax protocols because the same government worried about it's employees being vaccinated has zero cares about millions of unvaccinated being allowed in?
I feel like you're being intentionally obtuse here.
I don't think it has anything to do with it. When I think of immigration, the last thing I think of is if they had a covid vaccine, or any vaccine for that matter. To me it seems like a weird excuse.
It got me to thinking though, are we talking about everyone who comes cross the border or just those who are detained, processed, and allowed entry? Because those are two separate populations. I don't think it's fair to blame the government for people who crossed without being caught. You can debate how effective immigration policies are in a different thread, but here it's unfair to say vaccination policies for government employees are bs because people we don't account for crossing the border may or may not be vaccinated.
For anyone detained though, if they wish to obtain residence in the US through any means, they are required to have updated vaccinations for multiple diseases, including COVID. In addition, there are multiple avenues for undocumented immigrants to be vaccinated for COVID without fear of their immigration status being questioned.
So, for the "millions and millions" who can just stroll into the US, if they are detained at the border they need to be vaccinated before they are let through. If they aren't, well its hard to know if someone is vaccinated if you dont know they are here. But they have opportunities to get it without worrying about being sent back wherever they are from.
So, why do you think the government doesn't care if someone crossing the border is vaccinated when it's a requirement if they go through proper channels and it's free to do if they don't?